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Simplifying 4(x + -2) + 6x = -2x + 12 Reorder the terms: 4(-2 + x) + 6x = -2x + 12 (-2 * 4 + x * 4) + 6x = -2x + 12 (-8 + 4x) + 6x = -2x + 12 Combine like terms: 4x + 6x = 10x -8 + 10x = -2x + 12 Reorder the terms: -8 + 10x = 12 + -2x Solving -8 + 10x = 12 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -8 + 10x + 2x = 12 + -2x + 2x Combine like terms: 10x + 2x = 12x -8 + 12x = 12 + -2x + 2x Combine like terms: -2x + 2x = 0 -8 + 12x = 12 + 0 -8 + 12x = 12 Add '8' to each side of the equation. -8 + 8 + 12x = 12 + 8 Combine like terms: -8 + 8 = 0 0 + 12x = 12 + 8 12x = 12 + 8 Combine like terms: 12 + 8 = 20 12x = 20 Divide each side by '12'. x = 1.666666667 Simplifying x = 1.666666667
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